| JR-clean环 |
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| 引用本文： | 程瑶,殷晓斌.JR-clean环[J].华中师范大学学报(自然科学版),2019,53(1):8-14. |
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| 作者姓名： | 程瑶 殷晓斌 |
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| 作者单位： | 安徽师范大学数学与统计学院， 安徽 芜湖 241003 |
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| 摘 要： | 引入了(强)JR-clean环的概念.说明了JR-clean环是J-clean环的真推广.研究了(强)JR-clean环的一些基本性质以及扩张，同时讨论了(强)JR-clean环与一些特殊环之间的关系.
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| 关 键 词： | 强clean环 J-clean环 JR-clean环 强JR-clean环 |
| 收稿时间： | 2019-01-25 |
On JR-clean rings |
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| CHENG Yao,YIN Xiaobin.On JR-clean rings[J].Journal of Central China Normal University(Natural Sciences),2019,53(1):8-14. |
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| Authors: | CHENG Yao YIN Xiaobin |
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| Institution: | Department of Mathematics and Statistics Science， Anhui Normal University， Wuhu， Anhui 241003， China |
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| Abstract: | The concepts of (strongly) JR-clean rings are introduced. It is proved that JR-clean rings are the real generalization of J-clean rings. Basic properties and extensions of (strongly) JR-clean rings are investigated. Moreover， the relationships between (strongly) JR-clean rings and some special rings are discussed. |
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| Keywords: | strongly clean rings J-clean rings JR-clean rings strongly JR-clean rings |
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